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A ray of light passes through a equilateral glass prism in such a manner that the angle of incidence is equal to the angle of emergence and each of these angles is equal to $\frac{3}{4}$ of the angle of the prism. The angle of deviation is? (in degrees)

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answer is 30.

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Detailed Solution

$\begin{array}{l} i = e = \frac{3 A}{4}, A = 60^{0} \\ i = e = \frac{30 \times 60}{4} = 45^{0} \\ δ = i + e - A = 45 + 45 - 60 \\ δ = 30^{0} \end{array}$

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